Question:
The crystal field splitting energy for octahedral $(\Delta_0)$ and tetrahedral $(\Delta_{t})$ complexes is related to :
The crystal field splitting energy for octahedral $(\Delta_0)$ and tetrahedral $(\Delta_{t})$ complexes is related to :
Updated On: Jan 30, 2025
- $\Delta_{t} = \frac{4}{9} \Delta_{o}$
- $\Delta_{t} = \frac{1}{2} \Delta_{o}$
- $\Delta_{o} = 2\Delta_{t}$
- $\Delta_{o} = \frac{4}{9} \Delta_{t}$
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The Correct Option is A
Solution and Explanation
Since splitting in tetrahedral complex is $\frac{2}{3}$ rd of octahedral complex ,so for one legand splitting in $OH =\frac{\Delta_{0}}{6}$, then for one legend splitting in tetrahedral is $\frac{2}{3}\left(\frac{\Delta_{0}}{6}\right)$, so for 4 legand, $\Delta t =4 \times \frac{2}{3} \times \frac{\Delta_{0}}{6}$
$=\frac{4}{9} \Delta_{0}$
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Concepts Used:
Coordination Compounds
A coordination compound holds a central metal atom or ion surrounded by various oppositely charged ions or neutral molecules. These molecules or ions are re-bonded to the metal atom or ion by a coordinate bond.
Coordination entity:
A coordination entity composes of a central metal atom or ion bonded to a fixed number of ions or molecules.
Ligands:
A molecule, ion, or group which is bonded to the metal atom or ion in a complex or coordination compound by a coordinate bond is commonly called a ligand. It may be either neutral, positively, or negatively charged.